scholarly journals Spectral Properties of Second Order Differential Operator Determined by Non-Local Boundary Conditions

2018 ◽  
pp. 18-33
Author(s):  
Aleksandr Shelkovoy ◽  
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Spectral Properties ◽  
Second Order ◽  
Order Differential Operator ◽  
Local Boundary ◽  
Non Local

scholarly journals On Basis Property of Root Functions For a Class Second Order Differential Operator

2020 ◽  
Vol 5 (1) ◽  
pp. 361-368
Author(s):  
Volkan Ala ◽  
Khanlar R. Mamedov
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Spectral Parameter ◽  
Liouville Equation ◽  
Basis Property ◽  
Second Order ◽  
Order Differential Operator ◽  
Root Functions ◽  
Sturm Liouville

AbstractIn this work we investigate the completeness, minimality and basis properties of the eigenfunctions of one class discontinuous Sturm-Liouville equation with a spectral parameter in boundary conditions.

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